Given numbers are 204,756,324,976,548

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 204,756,324,976,548 is 1288849968.

Find LCM of 204,756,324,976,548 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 3 x 17 x 7 x 3 x 244 x 137 = 1288849968

Therefore, the lowest common multiple of 204,756,324,976,548 is 1288849968.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

204 x 756 x 324 x 976 x 548 = 26725592936448

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

548 : 1, 2, 4, 137, 274, 548

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,756,324,976,548, is 4.

Now, the common factors can be found like this.

204:2x 2x 3x 17

756:2x 2x 3x 3x 3x 7

324:2x 2x 3x 3x 3x 3

976:2x 2x 2x 2x 61

548:2x 2x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 2x 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 26725592936448/(4x5184)

LCM = 26725592936448/20736

LCM = 1288849968

Thus, we can understand that the LCM of 204,756,324,976,548 is 1288849968.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 963, 963, 384, 154, 341
• LCM of 162, 433, 342, 727, 192
• LCM of 208, 335, 377, 480, 761
• LCM of 855, 668, 218, 858, 132
• LCM of 319, 975, 293, 923, 878

1. What is the LCM of 204, 756, 324, 976, 548?

Answer: LCM of 204, 756, 324, 976, 548 is 1288849968.

2. How to calculate the LCM of 204, 756, 324, 976, 548?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 204, 756, 324, 976, 548.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.